physics constant angular acceleration
posted by Mike .
A wheel with radius 25.2 cm rotates with constant angular acceleration 3.75 rad/s2 (radians per second per second). If at t = 0 s, the angular speed of the wheel is 4.3 rad/s, how long does it take the wheel to complete 4 revolutions?
4 rev.= 4*2*pi radians
use the formula for angular motion:
theta = W0*t + (1/2)*alpha*t^2 .....(1)
here theta = 4*2*pi
W0 = 4.3
alpha = 3.75
Solve the quadratic eqn.(1)to get the value of t (time)
The data on radius of the wheel has no use in solving this problem.